derivative of (3x^2+1^4)

Lösung

\frac{d}{d x} ((3 x^{2} + 1)^{4})

24 x (3 x^{2} + 1)^{3}

Schritte zur Lösung

\frac{d}{d x} ((3 x^{2} + 1)^{4})

Wende die Kettenregel an:

4 (3 x^{2} + 1)^{3} \frac{d}{d x} (3 x^{2} + 1)

= 4 (3 x^{2} + 1)^{3} \frac{d}{d x} (3 x^{2} + 1)

\frac{d}{d x} (3 x^{2} + 1) = 6 x

= 4 (3 x^{2} + 1)^{3} \cdot 6 x

Vereinfache

= 24 x (3 x^{2} + 1)^{3}

(2 x y + y^{2}) d x - 2 x^{2} d y = 0

\frac{d}{d x} (\frac{( x - 4 )}{x} + ln (\frac{x}{4}))

\int \frac{1}{x ^{4} + x ^{2}} d x

\frac{\partial}{\partial x} (t^{2} x - t)

\int \frac{x ^{2}}{x ^{4} - 20 x ^{2} - 125} d x